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Finding the Fourth Proportional to 957.56, 1,323.54 and 697.40

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Solution

The fourth proportional to 957.56, 1,323.54 and 697.40 is: 963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.56 : 1,323.54 = 697.40 : x
  2. Step 2: Convert to fraction form
    957.56/1,323.54 = 697.40/x
  3. Step 3: Cross multiply
    957.56x = 1,323.54 × 697.40
  4. Step 4: Simplify right side
    957.56x = 923,036.80
  5. Step 5: Solve for x
    x = 923,036.80/957.56
  6. Step 6: Final answer
    x = 963.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.